Generalized fractals in semimetric spaces
Mihály Bessenyei, Evelin Pénzes
Abstract
The aim of the present paper is to extend the classical fractal theory using condensing maps and generalized contractions of semimetric spaces. Our method is independent from the approach of Hutchinson: It is based on the Kuratowski measure of noncompactness and avoids completely the Blaschke Completeness Theorem.
Topics & Concepts
Completeness (order theory)FractalMathematicsPure mathematicsMeasure (data warehouse)Calculus (dental)Gödel's completeness theoremMathematical analysisDiscrete mathematicsComputer scienceMedicineDatabaseDentistryMathematical Dynamics and FractalsFixed Point Theorems AnalysisMathematical and Theoretical Analysis